%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV055+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 09:01:19 AM UTC 2026
% Result : Theorem 20.94s 18.05s
% Output : CNFRefutation 20.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWV055+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.02 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.38 % Computer : n016.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.03/15.43 % CPULimit : 300
% 0.03/15.43 % WCLimit : 300
% 0.03/15.43 % DateTime : Sat Sep 26 13:09:51 UTC 2026
% 0.03/15.43 % CPUTime :
% 0.03/15.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.94/18.05 % SZS status Theorem for theBenchmark.p
% 20.94/18.05 % SZS output start CNFRefutation for theBenchmark.p
% 20.94/18.05 fof(irreflexivity_gt, axiom, ! [X0] : ~gt(X0,X0)).
% 20.94/18.05 fof(transitivity_leq, axiom, ! [X0] : ! [X1] : ! [X2] : (((leq(X0,X1) & leq(X1,X2)) => leq(X0,X2)))).
% 20.94/18.05 fof(leq_gt_pred, axiom, ! [X0] : ! [X1] : ((leq(X0,pred(X1)) <=> gt(X1,X0)))).
% 20.94/18.05 fof(leq_succ_gt_equiv, axiom, ! [X0] : ! [X1] : ((leq(X0,X1) <=> gt(succ(X1),X0)))).
% 20.94/18.05 fof(succ_tptp_minus_1, axiom, succ('tptp$uminus$u1') = n0).
% 20.94/18.05 fof(pred_minus_1, axiom, ! [X0] : minus(X0,n1) = pred(X0)).
% 20.94/18.05 fof(pred_succ, axiom, ! [X0] : pred(succ(X0)) = X0).
% 20.94/18.05 fof(cl5_nebula_norm_0037, conjecture, ((leq(n0,pv10) & (leq(pv10,minus(n135300,n1)) & ! [X0] : ! [X1] : (((leq(n0,X0) & leq(X0,minus(pv10,n1))) => sum(n0,minus(n5,n1),'a$uselect3'(q,X0,X1)) = n1)))) => (leq(n0,pv10) & (leq(pv10,minus(n135300,n1)) & (! [X2] : ! [X3] : (((leq(n0,X2) & leq(X2,minus(n0,n1))) => 'a$uselect3'(q,pv10,X2) = divide(sqrt(times(minus('a$uselect3'(center,X2,n0),'a$uselect2'(x,pv10)),minus('a$uselect3'(center,X2,n0),'a$uselect2'(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus('a$uselect3'(center,X3,n0),'a$uselect2'(x,pv10)),minus('a$uselect3'(center,X3,n0),'a$uselect2'(x,pv10)))))))) & ! [X4] : ! [X5] : (((leq(n0,X4) & leq(X4,minus(pv10,n1))) => sum(n0,minus(n5,n1),'a$uselect3'(q,X4,X5)) = n1))))))).
% 20.94/18.05 fof(negated_conjecture, negated_conjecture, ~(((leq(n0,pv10) & (leq(pv10,minus(n135300,n1)) & ! [X0] : ! [X1] : (((leq(n0,X0) & leq(X0,minus(pv10,n1))) => sum(n0,minus(n5,n1),'a$uselect3'(q,X0,X1)) = n1)))) => (leq(n0,pv10) & (leq(pv10,minus(n135300,n1)) & (! [X2] : ! [X3] : (((leq(n0,X2) & leq(X2,minus(n0,n1))) => 'a$uselect3'(q,pv10,X2) = divide(sqrt(times(minus('a$uselect3'(center,X2,n0),'a$uselect2'(x,pv10)),minus('a$uselect3'(center,X2,n0),'a$uselect2'(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus('a$uselect3'(center,X3,n0),'a$uselect2'(x,pv10)),minus('a$uselect3'(center,X3,n0),'a$uselect2'(x,pv10)))))))) & ! [X4] : ! [X5] : (((leq(n0,X4) & leq(X4,minus(pv10,n1))) => sum(n0,minus(n5,n1),'a$uselect3'(q,X4,X5)) = n1))))))), inference(negate_conjecture, [status(cth)], [cl5_nebula_norm_0037])).
% 20.94/18.05 cnf(c41, plain, ~gt(X0,X0), inference(clausification, [status(esa)], [irreflexivity_gt])).
% 20.94/18.05 cnf(c43, plain, ~leq(X0,X1) | ~leq(X1,X2) | leq(X0,X2), inference(clausification, [status(esa)], [transitivity_leq])).
% 20.94/18.05 cnf(c50, plain, ~leq(X0,pred(X1)) | gt(X1,X0), inference(clausification, [status(esa)], [leq_gt_pred])).
% 20.94/18.05 cnf(c51, plain, leq(X0,pred(X1)) | ~gt(X1,X0), inference(clausification, [status(esa)], [leq_gt_pred])).
% 20.94/18.05 cnf(c54, plain, ~leq(X0,X1) | gt(succ(X1),X0), inference(clausification, [status(esa)], [leq_succ_gt_equiv])).
% 20.94/18.05 cnf(c130, plain, succ('tptp$uminus$u1') = n0, inference(clausification, [status(esa)], [succ_tptp_minus_1])).
% 20.94/18.05 cnf(c141, plain, minus(X0,n1) = pred(X0), inference(clausification, [status(esa)], [pred_minus_1])).
% 20.94/18.05 cnf(c142, plain, pred(succ(X0)) = X0, inference(clausification, [status(esa)], [pred_succ])).
% 20.94/18.05 cnf(c163, plain, leq(n0,pv10), inference(clausification, [status(esa)], [negated_conjecture])).
% 20.94/18.05 cnf(c164, plain, leq(pv10,minus(n135300,n1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 20.94/18.05 cnf(c165, plain, ~leq(n0,X0) | ~leq(X0,minus(pv10,n1)) | sum(n0,minus(n5,n1),'a$uselect3'(q,X0,X1)) = n1, inference(clausification, [status(esa)], [negated_conjecture])).
% 20.94/18.05 cnf(c166, plain, ~leq(n0,pv10) | ~leq(pv10,minus(n135300,n1)) | ~X0 | leq(n0,sK184), inference(clausification, [status(esa)], [negated_conjecture])).
% 20.94/18.05 cnf(c167, plain, ~leq(n0,pv10) | ~leq(pv10,minus(n135300,n1)) | ~X0 | leq(sK184,minus(pv10,n1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 20.94/18.05 cnf(c168, plain, ~leq(n0,pv10) | ~leq(pv10,minus(n135300,n1)) | ~X0 | sum(n0,minus(n5,n1),'a$uselect3'(q,sK184,sK185)) != n1, inference(clausification, [status(esa)], [negated_conjecture])).
% 20.94/18.05 cnf(c169, plain, X0 | leq(n0,sK186), inference(clausification, [status(esa)], [negated_conjecture])).
% 20.94/18.05 cnf(c170, plain, X0 | leq(sK186,minus(n0,n1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 20.94/18.05 cnf(d0, plain, pred(n0) = 'tptp$uminus$u1', inference(superposition, [status(thm)], [c130,c142])).
% 20.94/18.05 cnf(d1, plain, leq(n0,sK184) | ~leq(pv10,minus(n135300,n1)) | ~'Ts181', inference(resolution, [status(thm)], [c163,c166])).
% 20.94/18.05 cnf(d2, plain, leq(n0,sK184) | ~'Ts181', inference(resolution, [status(thm)], [c164,d1])).
% 20.94/18.05 cnf(d3, plain, ~leq(pv10,minus(n135300,n1)) | leq(sK184,minus(pv10,n1)) | ~'Ts181', inference(resolution, [status(thm)], [c163,c167])).
% 20.94/18.05 cnf(d4, plain, leq(sK184,minus(pv10,n1)) | ~'Ts181', inference(resolution, [status(thm)], [c164,d3])).
% 20.94/18.05 cnf(d5, plain, sum(n0,minus(n5,n1),'a$uselect3'(q,sK184,sK185)) != n1 | ~leq(pv10,minus(n135300,n1)) | ~'Ts181', inference(resolution, [status(thm)], [c163,c168])).
% 20.94/18.05 cnf(d6, plain, sum(n0,minus(n5,n1),'a$uselect3'(q,sK184,sK185)) != n1 | ~'Ts181', inference(resolution, [status(thm)], [c164,d5])).
% 20.94/18.05 cnf(d7, plain, n1 != n1 | ~'Ts181' | ~leq(sK184,minus(pv10,n1)) | ~leq(n0,sK184), inference(superposition, [status(thm)], [c165,d6])).
% 20.94/18.05 cnf(d8, plain, ~leq(n0,sK184) | ~leq(sK184,minus(pv10,n1)) | ~'Ts181', inference(equality_resolution, [status(thm)], [d7])).
% 20.94/18.05 cnf(d9, plain, ~leq(n0,sK184) | ~'Ts181' | ~'Ts181', inference(resolution, [status(thm)], [d8,d4])).
% 20.94/18.05 cnf(d10, plain, ~'Ts181' | ~'Ts181', inference(resolution, [status(thm)], [d9,d2])).
% 20.94/18.05 cnf(d11, plain, leq(sK186,minus(n0,n1)), inference(resolution, [status(thm)], [d10,c170])).
% 20.94/18.05 cnf(d12, plain, leq(sK186,pred(n0)), inference(demodulation, [status(thm)], [d11,c141])).
% 20.94/18.05 cnf(d13, plain, leq(sK186,'tptp$uminus$u1'), inference(demodulation, [status(thm)], [d12,d0])).
% 20.94/18.05 cnf(d14, plain, leq(n0,sK186), inference(resolution, [status(thm)], [d10,c169])).
% 20.94/18.05 cnf(d15, plain, ~leq(sK186,X0) | leq(n0,X0), inference(resolution, [status(thm)], [c43,d14])).
% 20.94/18.05 cnf(d16, plain, ~gt(X0,sK186) | leq(n0,pred(X0)), inference(resolution, [status(thm)], [c51,d15])).
% 20.94/18.05 cnf(d17, plain, ~gt(X0,sK186) | gt(X0,n0), inference(resolution, [status(thm)], [d16,c50])).
% 20.94/18.05 cnf(d18, plain, ~leq(sK186,X0) | gt(succ(X0),n0), inference(resolution, [status(thm)], [c54,d17])).
% 20.94/18.05 cnf(d19, plain, gt(n0,n0) | ~leq(sK186,'tptp$uminus$u1'), inference(superposition, [status(thm)], [c130,d18])).
% 20.94/18.05 cnf(d20, plain, ~leq(sK186,'tptp$uminus$u1'), inference(resolution, [status(thm)], [c41,d19])).
% 20.94/18.05 cnf(d21, plain, $false, inference(resolution, [status(thm)], [d20,d13])).
% 20.94/18.05 % SZS output end CNFRefutation for theBenchmark.p
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